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## Homework Statement

**A horizontal force of 80N acts on a mass of 6kg resting on a horizontal face. The mass is initially at rest and covers a distance of 5m in 0.92s under the action of the force. Assuming there are no energy losses due to air resistance and therefore that the acceleration is constant.**

A) Calculate the energy expended in the acceleration.

B) Plot a graph of the kinetic energy of the mass against time.

C) Plot a graph of the kinetic energy of the mass against distance.A) Calculate the energy expended in the acceleration.

B) Plot a graph of the kinetic energy of the mass against time.

C) Plot a graph of the kinetic energy of the mass against distance.

## Homework Equations

**K.E.= (mv^2)/2,**

V= ∆s/∆t

S= d/tV= ∆s/∆t

S= d/t

## The Attempt at a Solution

A) Work=force ×distance

W=fD

W=80 ×5

W=400J

B) Speed= distance/time

S= d/t

S= 5/0.92

S=5.4348m/s

Velocity= (change in speed)/(change in time)

V= ∆s/∆t

V= 5.4348/0.92

V=5.907ms^(-1)

K.E.= (mv^2)/2

K.E.= (6 × 5.907^2)/2

K.E.= 104.678J

If correct, on the x-axis i'd have time in s, on the y-axis K.E. in Joules. I'd draw a straight line from 0,0 to 0.92,104.678?

C) Similarly to answer B, except with distance on the x-axis and K.E. on the y axis. I'd draw a straight line from 0,0 to 5,104.678?

**If anybody is able to check my answers and provide some guidance i'd be most grateful.**

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